The slope and the intercepts of the graph are determined.
Given:
the equation is :
2x+3y=6
we first find the slope of the equation:
m = -a/b
m = -2/3
now solve the intercepts:
to find x intercept, substitute in 0 for y and solve for x.
⇒ 2x+3y=6
⇒ 2x+3(0)=6
⇒ 2x+0=6
⇒ 2x=6
⇒ x=6/2
⇒ x=3
hence we get (3,0)
now, to find y intercept, substitute in 0 for x and solve for y.
⇒ 2x+3y=6
⇒ 2(0)+3y=6
⇒ 0+3y=6
⇒ 3y=6
⇒ y=6/3
⇒ y=2
hence we get (0,2) as the intercepts.
Therefore we plot the required graph.
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Please answer the question in the picture below
Thank you!
Answer:
Question 23: 39
Question 24: 10
Question 25: Airline B
Question 26: 20 to 50
Step-by-step explanation:
A student wrote the expression -3(8 - 10) as - 24 + 30. Which property did the student use?
Stacys mom is baking treats
sir........you gucci?
I have multiple questions:
1: 2/3÷4/5
2: 2 1/9÷2/3
3: 3/5÷1 1/4
Answer:
1: 5/6
2: 3 1/6
3: 12/25
hope this helps!!
p.s
comment if wrong
Question 3 Let X1, X2,..., Xn be independent random variables, each having a uniform distri- bution over (0,1). Let M = maximum (X₁, X₂,..., Xn). Show that the distribution function of M, FM(-), is given by FM(x)=x, 0≤x≤1 What is the probability density function of M?
The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.
The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.
In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.
For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).
The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).
To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.
The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.
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A number minus 8 is the same as a number
n divided by 2.
A number minus 8 is the same as a number divided by 2.
To Find :We have to find that number\(.\)
Solution :Let the number be x.
From the given question,
1. Number minus 8
x - 8 ..... (I)2. Number divided by 2
x/2 ..... (II)ATQ : (I) = (II)
⭆ x - 8 = x/2
⭆ 2(x -8) = x
⭆ 2x - 16 = x
⭆ 2x - x = 16
⭆ x = 16
#CarryOnLearningRyan, Michelle, and Emily are at an amusement park together:
Ryan spent $13.50 to purchase 3 tickets for the Ferris wheel and 2 tickets for the water slide.
Michelle spent $16.50 to purchase 1 ticket for the Ferris wheel and 4 tickets for the merry-go-round.
Emily spent $14 to purchase 3 tickets for the Ferris wheel, 1 ticket for the water slide, and 1 ticket for the merry-go-round.
Let x, y, and z represent the ticket cost for the Ferris wheel, water slide, and merry-go-round, respectively. Which matrix equation can be solved to find the cost of each type of ticket?
50 points please answer correctly!!!
The matrix equation that can be solved to find the cost of each type of ticket is: Option B:
\(\left[\begin{array}{ccc}3&2&0\\1&0&4\\3&1&1\end{array}\right] = \left[\begin{array}{ccc}13.50\\16.50\\14\end{array}\right]\)
How to generate the Matrix Equation?Let's define the variables:
Let x represent ticket cost for the Ferris wheel
Let y represent ticket cost for the water slide
Let z represent ticket cost for the merry-go-round
Based on the given information, we can set up the following equations:
Ryan's purchases:
3x + 2y = 13.50
Michelle's purchases:
x + 4z = 16.50
Emily's purchases:
3x + y + z = 14
To form a matrix equation, we can write these equations in matrix form:
\(\left[\begin{array}{ccc}3&2&0\\1&0&4\\3&1&1\end{array}\right] = \left[\begin{array}{ccc}13.50\\16.50\\14\end{array}\right]\)
So, that is the matrix equation that can be solved to find the cost of each type of ticket is:
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26. Which function is increasing and decreasing over the same intervals as the function in the graph?
Answer:
B.y=(x+2)
Step-by-step explanation
A geologist gathered data about the total shoreline and maximum depth of several area lakes and organized the data into this table.
Total Shoreline (miles) 22 17 10 23 12 35 7
Maximum Depth (feet) 101 85 59 113 64 158 33
She then used a graphing tool to display the data in a scatter plot, with x representing the total miles of shoreline and y representing the maximum depth. She also used the graphing tool to find the equation of the line of best fit:
y = 4.26x + 10.908.
Based on the line of best fit, what is the approximate maximum depth of a lake that has 31 miles of shoreline?
Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft
How to interpret a Line of best fit?The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.
Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.
However, when the geologist found the graph, she arrived at an equation of best fit as;
y = 4.26x + 10.908.
Thus, for 31 miles of shoreline, the approximate maximum depth is;
Approximate maximum depth = 4.26(31) + 10.908.
Approximate maximum depth = 142.968 ft
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Answer:
143 feet
Step-by-step explanation:
its technically 142 and change but edmentum rounds up
Please help will award brainliest to whoever helps and give you 30 points
Part of the roof of a factory is devoted to mechanical support and part to green space. The area G that is designated as green space can be modeled by the polynomial 2x^2 - 7x and the area M that is devoted to mechanical support can be modeled by the polynomial x^2 - 9x + 24. Given that the area R of the roof is 36 square yards, write and solve a quadratic equation to find the total area of the green space. **Use the positive value for your solution.
(Hint: R = G + M)
i think i is 56 do you have answer choices?
Round 9 1/3 to the nearest whole number
Answer:
Nearest Whole Number: 9
Step-by-step explanation:
Answer:
im guessing it would just be 9
Step-by-step explanation:
because its 1 out of three so that leaves two so its closest to 9
Here is a true statement: -8.7<-8.4. Select all of the statements that are
equivalent to -8.7 <-8.4.
1 -8.7 is further to the right on the number line than -8.4.
2-8.7 is further to the left on the number line than -8.4.
3. -8.7 is less than -8.4.
Answer:
2 and 3
Step-by-step explanation:
n.1 isn't right because the numbers are negative so they will b on the left side not the right side
n.2 is right because the numbers are negative and -8.7 is further away from 1 and less than -8.4 so it will be further to the left
n.3 is right because -8.7 is further away from -8.4 making it less than -8.4
t:
Option 3 is equivalent to the statement -8.7 <-8.4.
Step-by-step explanation:
chatgpt
as discussed in class, if on any given day the dallas water district took 50 water samples can conducted the mpn tests. on that day the presumptive water tests at the water purification plant showed the following results: 97% of the water samples tested were free of any coliform bacteria. the remaining 3% of the samples had no more than 1 coliform per sample. what does this mean for you the consumer?
According to the EPA Clean Water Act regulations, all of the water that day is safe to drink.
To safeguard the standard of drinking water in the United States, the Safe Drinking Water Act (SDWA) was created. This legislation applies to all waters that are now or conceivably intended for consumption, whether they originate from above-ground or subsurface sources.
The Act mandates that all owners or operators of public water systems adhere to these fundamental (health-related) criteria and gives EPA the authority to set minimum standards to safeguard tap water.
The 1996 modifications to the SDWA mandate that while setting these criteria, EPA takes into account a thorough risk and cost evaluation as well as the finest peer-reviewed science.
The attainment of secondary standards is also encouraged by state governments, which may be authorized to implement these EPA regulations.
In accordance with the Act, EPA also establishes minimum requirements for state programs to safeguard underground water sources from being endangered by fluid injection underground.
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Please answer this :) (50 points)
4ai. The ratio of the length of a side of the object to the corresponding length in the image is 1 : 2.
4aii. The scale factor of the enlargement is 2.
4bi. The ratio of the length of a side of the object to the corresponding length in the image is 1 : 5.
4bii. The scale factor of the enlargement is 5.
What are the properties of similar triangles?In Mathematics and Geometry, two triangles are similar when the ratio of their corresponding lengths are the same (equal) and their corresponding angles are congruent.
This ultimately implies that, the corresponding lengths are proportional to the lengths of corresponding altitudes when two (2) triangles are similar;
4ai. Ratio of triangle = 2 : 4
Ratio of triangle = 1 : 2
4aii. For the scale factor of enlargement, we have:
Scale factor of enlargement = 2/1
Scale factor of enlargement = 2.
4bi. Ratio of square = 1 : 5.
4bii. For the scale factor of enlargement, we have:
Scale factor of enlargement = 5/1
Scale factor of enlargement = 5.
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Answer:
And Jeremiah Johnson city TN to
i
What is the value of x 2,8,9,7.6,x the mean is 6
The value of X is 3.4
Disclaimer:
We will consider arithmetic mean in this case as which mean is not mentioned.
The total number of terms are 5
thus, arithmetic mean= 6
6= (2+8+9+7.6+x)/5
30 = 26.6+x
x=30-26.6=3.4
Thus the value of X is 3.4
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Main Answer:x= 3.4
Concept and definitions should be there
The Arithmetic Mean is the average of the numbers: a calculated "central" value of a set of numbers.
To calculate it:
• add up all the numbers,
• then divide by how many numbers there are.
Given data
the value of x 2,8,9,7.6,x the mean is 6
Solving part
As we know that
mean =(sum of the terms)/(Number of terms)
By substituting the values, we get
6=(2+8+9+7.6+x)/5
30= x+26.6
x= 30-26.6
x= 3.4
Final Answer: Thusx= 3.4 is the correct answer.
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Can someone help me solve this
A graph has time (hours) on the x-axis and Total costs (dollars) on the y-axis. Points are at (4, 52), (5, 60), (6, 68) and (7, 76).
The graph shows the charges of an instructor. The instructor charges an initial fee and then an hourly rate of $8.00 an hour for private lessons. Determine the instructor’s initial charge from the graph.
$
According to the given points on the graph the instructor's initial charge is $20.00.
What is system of equation?A group of two or more equations that are solved concurrently to get the values of the variables that satisfy each of the equations is known as a system of equations. Systems of equations are used to represent and solve issues in mathematics that involve several variables and their interactions. Several techniques, such as substitution, elimination, and graphing, can be used to resolve a system of equations.
Let us suppose the number of hours = x.
Let us suppose the total cost = y.
Thus,
y = mx + b
Substituting the given point:
52 = 4m + b
Given the hourly rate is 8.
52 = 4(8) + b
52 = 32 + b
b = 20
Hence, according to the given points on the graph the instructor's initial charge is $20.00.
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The complete question is:
The ratio of small dogs to large dogs at the dog show is 4:3. If there are 56 total dogs in the show, how many large dogs are in the show? Show your work by using a tape diagram.
Answer:
there are 24 large dogs
Step-by-step explanation:
add the ratio 3 plus 4
for large dogs you have 3/7×56
Penelope is raising money for a school trip by selling bags of chips and fruit snacks. The price of each bag of chips is $1.75 and the price of each fruit snack is $1.50. Yesterday Penelope made $42.50 and sold 15 more bags of chips than fruit snacks. Determine the number of bags of chips sold and the number of fruit snacks sold.
Answer:
bag of chips - 20 ; number of fruit snacks - 5 .
Step-by-step explanation:
Find the value of x.
Answer:
4x+8x = 180 degrees, so x=15
Step-by-step explanation:
Answer:
sum of 4x and 8x is 180°
( straight line )
4x + 8x = 180°12x = 180°x = 15°the mayor of a town believes that more than 46% of the residents favor construction of a new community. is there sufficient evidence at the 0.01 level to support the mayor's claim? state the null and alternative hypotheses for the above scenario
The null hypothesis for this scenario would be that the percentage of residents in favor of the construction of a new community is less than or equal to 46%.
And the alternative hypothesis would be that the percentage of residents in favor of the construction is greater than 46%. The mayor would need to conduct a hypothesis test to determine if there is sufficient evidence at the 0.01 level to support the claim.
This test would involve collecting data from a sample of the town's residents and determining if the sample proportion greater than or equal to the 46% claimed by the mayor. If the sample proportion is significantly greater than 46%, then the mayor's claim can be supported at the 0.01 level.
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stuck on this ixl, help me!
Answer:
-1
Step-by-step explanation:
in negative numbers, it goes the opposite of positive numbers
f(x) = − 1
2
x for x = –6
Answer:
Your an idiot and i oop hahahahah thats what u did on my question. YOUR AN IDIOT UR A IDIOT U SUCK.
Step-by-step explanation:
A large sheet has charge density σ
0
=+662×10
−12
C/m
2
A cylindrical Gaussian surface (dashed lines) encloses a portion of the sheet and extends a distance L
0
on either side of the sheet. The areas of the ends are A
1
and A
3
, and the curved area is A
2
. Only a small portion of the sheet is shown. If A
1
=0.1 m
2
,L
0
=1 m,ε
0
=8.85×10
−12
C
2
/Nm
2
. How much is the net electric flux through A
2
?
The net electric flux through the curved area A2 can be determined using Gauss's law. Gauss's law states that the electric flux through a closed surface is equal to the charge enclosed by that surface divided by the permittivity of free space (ε0).
In this case, the Gaussian surface is a cylindrical surface enclosing a portion of the charged sheet.
The net electric flux through A2 can be calculated as follows:
Φ2 = Qenclosed / ε0
To find the charge enclosed by the Gaussian surface, we need to consider the charge density (σ0) and the area A2. The charge enclosed (Qenclosed) can be determined by multiplying the charge density by the area:
Qenclosed = σ0 * A2
Substituting this into the equation for electric flux, we have:
Φ2 = (σ0 * A2) / ε0
Given the values σ0 = +662 × 10^(-12) C/m^2, A2 (curved area), and ε0 = 8.85 × 10^(-12) C^2/Nm^2, we can calculate the net electric flux through A2 using the equation above.
The net electric flux through A2 depends on the charge enclosed and the permittivity of free space. The charge enclosed is determined by the charge density and the area A2, while the permittivity of free space is a constant. By substituting the given values into the equation, we can find the precise value of the net electric flux through A2.
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Please help I really don’t understand this question
Answer:
I will explain it to you in a jiffy ok? Can you wait a sec
Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle. y = ex, y = x2 − 1, x = −1, x = 1
\(e-\frac{1}{e} +\frac{4}{3} 0r 3.687\) is the value when the equation is to integrate with respect to x or y
we integrate with respect to x
Area = \(\int\limits^b_a{(f(x)-g(x))} \, dx\)
= \(\int\limits^1_-1{e^{x}-x^{2} +1 } \, dx\)
=\(e^{x} -\frac{x^{3} }{3} +x\)
substitute 1 and -1 in place of x
= \((e-\frac{1}{3}+1-\frac{1}{e} -\frac{1}{3} +1)\)
= \(e-\frac{1}{e} + \frac{4}{3} or 3.6837\)
The diagram was attached in the given below.
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P=2L+2W solve for W.
\(W=\frac{P-2L}{2}\)
Step-by-step explanation:A literal equation allows us to replace mathematical values with variables.
Solving Literal Equation
When solving a literal equation, we should work in reverse PEMDAS order. remember that PEMDAS stands for paratheses, exponents, multiplication, division, addition, and subtraction. When doing arithmetic we work from P to S, but when solving a literal equation we should work in the opposite order, from S to P.
First, let's subtract 2L from both sides.
P - 2L = 2WThen, to isolate W, let's divide by 2.
\(\frac{P-2L}{2}\) = WThis gives us our final equation for W.
Interpreting the Answer
The equation above, P=2L+2W, most likely represents the perimeter of a quadrilateral. In this equation, P represents the perimeter, L is the length, and W is the width. This means that the equation we solved for will allow us to solve for the width. So, if there is a problem where you are given the perimeter and length, you can now find the width.
Answer:
W = P/2 -L
Step-by-step explanation:
I need help finding the slope and y-Intercept
Answer:
You Do y= mx+b
Step-by-step explanation:
Answer:
y-intercept is 2 because line passes through (0,2) and the slope is 3.
The equation of this line is y=3x+2.
The regular price of a baseball bat is $38.20. The baseball bat is on sale for %20 off the regular price. Josef has a coupon for an additional 10% off the sale price. What is the final price of the baseball bat?
Answer:
$27.5
Step-by-step explanation:
Other solution
38.2 X 0.8 = 30.56 (20% off)
30.56 X 0.9 = 27.504 (Another 10% off)
while virtually all time series exhibit _______ a random component, not all time series exhibit other components.
In contrast to the fact that almost all time series contain a random component, certain time series do not.
A TIME SERIES IS WHAT?
A time series is a group of observations of clearly defined data points produced over time via repeated measurements. A time series would include, for instance, calculating the amount of retail sales for each month of the year. This is due to the well defined and regular measurement of sales income at uniformly spaced intervals. Time series data are not those that are irregularly or once collected.
Three parts can be separated out of a time series observation: the trend (long-term direction), the seasonal (systematic, calendar-related motions), and the irregular (unsystematic, short term fluctuations).
In mathematics, a time series is a collection of data points that have been indexed chronologically.
A time series is typically a sequence that was recorded at a number of evenly spaced points in time.
It is therefore a set of discrete-time data.
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